What is the Greatest Common Factor of 78450 and 78454?

Greatest common factor (GCF) of 78450 and 78454 is 2.

GCF(78450,78454) = 2

We will now calculate the prime factors of 78450 and 78454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78450 and 78454.

How to find the GCF of 78450 and 78454?

We will first find the prime factorization of 78450 and 78454. After we will calculate the factors of 78450 and 78454 and find the biggest common factor number .

Step-1: Prime Factorization of 78450

Prime factors of 78450 are 2, 3, 5, 523. Prime factorization of 78450 in exponential form is:

78450 = 2¹ × 3¹ × 5² × 523¹

Step-2: Prime Factorization of 78454

Prime factors of 78454 are 2, 39227. Prime factorization of 78454 in exponential form is:

78454 = 2¹ × 39227¹

Step-3: Factors of 78450

List of positive integer factors of 78450 that divides 78450 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 523, 1046, 1569, 2615, 3138, 5230, 7845, 13075, 15690, 26150, 39225

Step-4: Factors of 78454

List of positive integer factors of 78454 that divides 78450 without a remainder.

1, 2, 39227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78450 and 78454. The biggest common factor number is the GCF number.
So the greatest common factor 78450 and 78454 is 2.

Also check out the Least Common Multiple of 78450 and 78454